Triple
T25433444
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Pólya’s theorem on random walks |
E637316
|
entity |
| Predicate | recurrenceHoldsForDimension |
P159443
|
FINISHED |
| Object | 2 |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: 2 | Statement: [Pólya’s theorem on random walks, recurrenceHoldsForDimension, 2]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: recurrenceHoldsForDimension Context triple: [Pólya’s theorem on random walks, recurrenceHoldsForDimension, 2]
-
A.
recurrenceHoldsForDimension
chosen
Indicates that a specified recurrence relationship is valid or applies along a particular dimension or axis.
-
B.
recurrence
Indicates that an event, condition, or state happens again or repeatedly over time, often after a period of absence or resolution.
-
C.
kernelDimensionEquals
Indicates that the dimension of the kernel (null space) of a given linear transformation or operator is equal to a specified value.
-
D.
includesDimension
Indicates that one entity encompasses or contains a particular dimension or measurable aspect as part of its definition or structure.
-
E.
hasHausdorffDimension
Indicates that a mathematical object is associated with a specific Hausdorff dimension value, expressing the fractal or geometric complexity of the object.
- F. None of above.
Provenance (3 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69e75db6c97081908178383fa632b193 |
completed | April 21, 2026, 11:21 a.m. |
| NER | Named-entity recognition | batch_69f5f6dc7d088190b1e4c191172ea256 |
completed | May 2, 2026, 1:06 p.m. |
| PD | Predicate disambiguation | batch_69f5afd5baac8190bb8ed576813c8591 |
completed | May 2, 2026, 8:03 a.m. |
Created at: April 21, 2026, 1:59 p.m.